If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave?(1 point)

Responses

It will remain constant.
It will remain constant.

It will become triple its original value.
It will become triple its original value.

It will become one third of its original value.
It will become one third of its original value.

It will depend on the speed of the wave.

1 answer

The frequency of a wave is inversely related to its wavelength when the speed of the wave remains constant. The relationship can be described by the equation:

\[ v = f \lambda \]

where \( v \) is the speed of the wave, \( f \) is the frequency, and \( \lambda \) is the wavelength.

If the wavelength (\( \lambda \)) is tripled, and the speed (\( v \)) remains constant, the frequency (\( f \)) will decrease. Specifically, if the wavelength is tripled, the frequency will become one third of its original value.

So the correct response is:

It will become one third of its original value.